Pith Number

pith:FF63WV7Z

pith:2012:FF63WV7ZTIVIC3RH7CGJA3RAUU

not attested not anchored not stored refs pending

On the Rate of Convergence for Critical Crossing Probabilities

H. K. Lei, I. Binder, L. Chayes

arxiv:1210.1917 v2 · 2012-10-06 · math-ph · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FF63WV7ZTIVIC3RH7CGJA3RAUU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:19:33.062484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

297dbb57f99a2a816e27f88c906e20a51c6d8b2c1d3488a356ce68e29e619b49

Aliases

arxiv: 1210.1917 · arxiv_version: 1210.1917v2 · doi: 10.48550/arxiv.1210.1917 · pith_short_12: FF63WV7ZTIVI · pith_short_16: FF63WV7ZTIVIC3RH · pith_short_8: FF63WV7Z

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FF63WV7ZTIVIC3RH7CGJA3RAUU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 297dbb57f99a2a816e27f88c906e20a51c6d8b2c1d3488a356ce68e29e619b49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfb64d002f658b0f0d72987d6a29574f4a2856629e40437a7226f6714db2f33a",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-10-06T06:45:19Z",
    "title_canon_sha256": "85d68816735c25951cf815f9d317a8c8df986308d5c4c895c8f2095aa6e18019"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1917",
    "kind": "arxiv",
    "version": 2
  }
}